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Finding the Third Proportional to 56,772 and 85,947

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Solution

The third proportional to 56,772 and 85,947 is: 130,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,772 : 85,947 = 85,947 : x
  2. Step 2: Convert to fraction form
    56,772/85,947 = 85,947/x
  3. Step 3: Cross multiply
    56,772x = 85,947 × 85,947
  4. Step 4: Simplify right side
    56,772x = 7,386,886,809
  5. Step 5: Solve for x
    x = 7,386,886,809/56,772
  6. Step 6: Final answer
    x = 130,114.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.